A representation of the chamber set Hecke algebra of an affine building

DOI10.1007/s11587-013-0155-7zbMath1310.51010OpenAlexW2012675994MaRDI QIDQ480356

Anna Zappa, Anna Maria Mantero

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-013-0155-7

zbMATH Keywords

representationaffine buildingHecke algebraPoisson transform

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Buildings and the geometry of diagrams (51E24)

Related Items (1)

Eigenspaces of operator algebras on the fundamental apartment of an affine building

Cites Work

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• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\)
• The Poisson transform and representations of a free group
• Spherical harmonic analysis on affine buildings
• On eigenspaces of the Hecke algebra with respect to a good maximal compact subgroup of a p-adic reductive group
• Eigenfunctions of invariant differential operators on a symmetric space
• Eigenfunctions of the Laplace operators for a building of type \(\tilde A_2\)
• Buildings and Hecke algebras.
• A duality for symmetric spaces with applications to group representations
• AN EIGENSPACE OF LARGE DIMENSION FOR A HECKE ALGEBRA ON AN BUILDING
• Harmonic analysis for anisotropic random walks on homogeneous trees
• Eigenvalues of the Vertex Set Hecke Algebra of an Affine Building

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